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Given (5,-12) is a point on the following line, convert the equation to point-slope form.

6x+ 2y = 6
A. y - 12 = -6(x - 5)
B. y + 12 = -6( – 5)
C. y + 12 = -3(x – 5)
D. y - 12 = -3(x - 5)

2 Answers

1 vote

Answer:

C

Explanation:

Slope = - 3

y - (-12) = -3(x - 5)

y + 12 = -3(x-5)

User Bend
by
7.6k points
6 votes

Answer:

C. y + 12 = -3(x – 5)

Explanation:

The point-slope form is


y-y_(1)=m(x-x_(1))

To express a line in the point-slope form, we actually its slope and a point that the line crosses. According to the problem, the point is
(5,-12).

The slope we can find it from the expression that gives us the problem


6x+2y=6

We are gonna express this equation in an explicit form, which is gonna give us the slope. Remember that in explicit form, the slope is the coefficient of the x-variable.


2y=6-6x\\y=(6-6x)/(2)\\ y=3-3x

As you can observe, the slope is -3.

Now, using all this information, we can find the point-slope expression


y-y_(1)=m(x-x_(1))\\y-(-12)=-3(x-5)\\y+12=-3(x-5)

If we compare, we deduct that the correct answer is C., because is the same expression that we have.

User Eflyax
by
7.6k points

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